Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In ΔACE, B and D are the points on side AC and CE respectively, such that BD ll AE,  AE = \(\frac{9}{5}\)BD.  What is the ratio of the area of ΔBCD to that of ΔAEC?

Options:

16 : 25

81 : 25

25 : 81

81 : 16

Correct Answer:

25 : 81

Explanation:

BD ll AE

ΔACE ∼ ΔBCD

\(\frac{area\;of\;ΔACE}{area\;of\;ΔBCD}\) = (\(\frac{AE}{BD}\))2 = \(\frac{81}{25}\)

ratio of area = 25 : 81